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Finding the Fourth Proportional to 6,087.42, 9,114.93 and 5,115.42

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Solution

The fourth proportional to 6,087.42, 9,114.93 and 5,115.42 is: 7,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,087.42 : 9,114.93 = 5,115.42 : x
  2. Step 2: Convert to fraction form
    6,087.42/9,114.93 = 5,115.42/x
  3. Step 3: Cross multiply
    6,087.42x = 9,114.93 × 5,115.42
  4. Step 4: Simplify right side
    6,087.42x = 46,626,695.22
  5. Step 5: Solve for x
    x = 46,626,695.22/6,087.42
  6. Step 6: Final answer
    x = 7,659.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.